77960802923640 has 1152 divisors, whose sum is σ = 339786988369920. Its totient is φ = 15918224716800.

The previous prime is 77960802923603. The next prime is 77960802923659. The reversal of 77960802923640 is 4632920806977.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 191737755 + ... + 192143925.

It is an arithmetic number, because the mean of its divisors is an integer number (294953982960).

Almost surely, 2^{77960802923640} is an apocalyptic number.

77960802923640 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77960802923640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169893494184960).

77960802923640 is an abundant number, since it is smaller than the sum of its proper divisors (261826185446280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

77960802923640 is a wasteful number, since it uses less digits than its factorization.

77960802923640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406255 (or 406232 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 77960802923640 in words is "seventy-seven trillion, nine hundred sixty billion, eight hundred two million, nine hundred twenty-three thousand, six hundred forty".